出版社:Nepal Academy of Science and Technology (RONAST)
摘要:An uncertainty principle due to Hardy for Fourier transform pairs on R says that if the function f is "very rapidly decreasing" then the Fourier transform cannot also be "very rapidly decreasing unless f is indentically zero." In this paper we study the relevant data for G 4 and state and prove an analogue of Hardy theorem for low-dimensional nilpotent Lie groups G 4 . Key words: Fourier transform; Uncertainity principle; Nilpotent Lie groups DOI: 10.3126/njst.v10i0.2951 Nepal Journal of Science and Technology Vol. 10, 2009 Page: 155-159
关键词:Fourier transform;Uncertainity principle;Nilpotent Lie groups